ORIGINAL_ARTICLESOLVING NONLINEAR KLEIN-GORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHODIn this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).Comparisons are made between the Adomian decomposition method (ADM), the exact solution and homotopy analysis method. The results reveal that the proposed method is very effective and simple.http://ijo.iaurasht.ac.ir/article_513246_32ab92c829d3d613ad724936c0b6f8e3.pdf2010-07-01T11:23:202019-05-25T11:23:20162172KLEIN-GORDONHomotopy Analysis MethodAdomian decomposition methodpartial differential equationHomotopy perturbation methodH.Jafarijafari@umz.ac.irtrue1Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.LEAD_AUTHORM.Saeidytrue2Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.AUTHORM.Arab Firoozjaeetrue3Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.AUTHORORIGINAL_ARTICLEAPPLICATION OF EXP-FUNCTION METHOD TO THE (2+1)-DIMENSIONAL CALOGERO BOGOYAVLANSKII SCHIFF EQUATIONIn this paper, the Exp-function method, with the aid of a symbolic computation system such as Maple, is applied to the (2+1) -dimensional Calogero Bogoyavlanskii Schiff equation. Exact and explicit generalized solitary solutions are obtained in more general forms. The free parameters can be determined by initial or boundary conditions. The method is straightforward and concise, and its applications are promising. It is shown that the Exp-function method, with the help of symbolic computation, provides a very effective and powerful mathematical tool for solving Calogero Bogoyavlanskii Schiff equation.http://ijo.iaurasht.ac.ir/article_513247_bcd484fddc550beff06d3b14ac752513.pdf2010-07-01T11:23:202019-05-25T11:23:20174193EXP-FUNCTION METHODCALOGERO BOGOYAVLANSKII SCHIFF EQUATIONpartial differential equationZ.AYATItrue1DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRANDEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRANDEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRANAUTHORJ.BIAZARbiazar@guilan.ac.irtrue2DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRANDEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRANDEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRANLEAD_AUTHORORIGINAL_ARTICLEDECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMSIn this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T.http://ijo.iaurasht.ac.ir/article_513248_291741359f21a9d070a568157cb45eae.pdf2010-07-01T11:23:202019-05-25T11:23:20194204SYMMETRIC AND TRIANGULAR DECOMPOSITIONFuzzy systemSYMMETRIC POSITIVE DEFINITE AND TRIANGULAR DECOMPOSITIONM.MOSLEHtrue1Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,IranDepartment of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,IranDepartment of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,IranAUTHORM.OTADImahmood_otadi@yahoo.comtrue2Department of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,IranDepartment of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,IranDepartment of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,IranLEAD_AUTHORA.KHANMIRZAIEtrue3Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,IranDepartment of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,IranDepartment of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,IranAUTHOR